1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AnnyKZ [126]
3 years ago
6

A report revealed that the average no. of months that an employee stays in a factory is 36 months. Assuming that

Mathematics
1 answer:
Masja [62]3 years ago
3 0

Answer:

a) P [X ≥ 30 ] =  0,8413      or    84,13%

b)  P [X < 24]  = 0,0228      or    2,28 %

c) P [ 24 < X < 48 ]   =  0,9544     or   95,44%

Step-by-step explanation:

z = ( X - μ₀ )/σ

μ₀ the mean ( average no. of months that an employee stay in a factory)

σ standard deviation

a) P [X ≥ 30 ] = 1 -  P [X < 30 ]

P [X < 30 ]

We look for z (score)

z = ( X - μ₀ )/σ      ⇒  z =  30 - 36 / 6

z = - 1

From z table we get for -1  

P [X < 30 ] = 0,1587

And

P [X ≥ 30 ] = 1 -  P [X < 30 ]  ⇒        P [X ≥ 30 ] = 1 - 0,1587

P [X ≥ 30 ] =  0,8413      or    84,13%

b) P [X < 24]

z (score) = ( 24 - 36 ) / 6

z( score) = -2

And from z table we get:

P [X < 24]  = 0,0228      or    2,28 %

c) P [ 24 < X < 48 ]    is  P[X ≤ 48] -  P[X ≤ 24]

P [X < 48]

s (score) = 48 - 36 / 6      ⇒   z = 2

P [X < 48] = 0,9772

Then

P [ 24 < X < 48 ]   = 0,9772  - 0,0228

P [ 24 < X < 48 ]   =  0,9544     or   95,44%

You might be interested in
Can someone please help me on this question
gregori [183]

Answer: It's C.

Step-by-step explanation:

3 0
2 years ago
To get from the post office to the library, Sindy walked due north and then due east. The distance Sindy walked east is 20 meter
Sidana [21]
Technically, none of the equations.

The equation you're looking for would be:

x²+(x+20)²=150²


7 0
3 years ago
Read 2 more answers
I need help with my math problems
Oxana [17]
13 16 15 19 20 15 19 20 14 15 17 18 and that's all i see hopes that helped :)
7 0
3 years ago
Read 2 more answers
the ordered pairs(1,4), (3,12), and (5, 20)represent the distance y that Jario walks after x seconds. Plot the ordered pairs on
murzikaleks [220]

Check the picture below.

7 0
3 years ago
Read 2 more answers
H E L P!!! Simplify the expression -4d+3-8+6+d-1
ser-zykov [4K]

-4d+3-8+6+d-1 =

-3d + 0 =

-3d

6 0
3 years ago
Other questions:
  • The distance between two towns on a map is 9 centimeters. the actual distance between two towns is 63 kilometers. what is the sc
    5·2 answers
  • The transformation T = [0 1 -1 0] is applied the figure below.
    8·1 answer
  • −4(w+1)=−24 SIMPLIFY PLEASE HELP ASAP
    8·2 answers
  • I have 35$. If that
    15·1 answer
  • Why can’t we determine the length of a line
    7·1 answer
  • El perímetro de un rectángulo es de 54 pulgadas. Su longitud dos veces es ancho. Encontrar la longitud y anchura del hallazgo re
    12·1 answer
  • What's the explicit formula for 5,10,15,20,25,30
    5·1 answer
  • ?<br> —— x 8 = 7<br> 8 <br><br> *please help and explain how you got the answer :)*
    13·1 answer
  • What is the value of x in the equation −3(10x − 12) + 15x = 54?
    12·1 answer
  • 3/5 x 7/9 multiplication​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!